Answer:
y = 6x - 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (1, - 7)
m = =
= 6, thus
y = 6x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, - 7), then
- 7 = 6 + c ⇒ c = - 7 - 6 = - 13
y = 6x - 13 ← equation of line
Answer:
+
Step-by-step explanation:
To complete the square, with the coefficient of the x² term = 1
add ( half the coefficient of the x- term)² to both sides
x² + 3x + ()² = 6 + (
)²
x² + 3x + = 6 +
Answer:
A.) 10
Step-by-step explanation:
So draw the points on a graph is the best way to solve the problem, but if you can't then you have to mentally imagine it.
on the X axis B is 5 and C is 11 so the distance or length of the line between the points is 11-5=6
on the Y axis B is 2 and C is -6 so the distance or length of the line between the points is 2-(-6)=8
now you have two lines that can make a right triangle and use the Pythagorean theorem to solve for the long line connecting directly from point B to point C +
=
so
+
=100=
, z=
=10